Subgroups — C₂²×C₂₃×#540 #19210303

Order 5888.

8838 conjugacy classes of subgroups.

The subgroup lattice has 294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂₃×#540	C₂	1	48	yes	maximal, direct product factor
2	C₂²×C₂₃×#127	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₂₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₂₃×#123	C₂	1	4	yes	maximal, complemented
5	C₂²×C₂₃×#121	C₂	1	2	yes	maximal, complemented
6	C₂²×C₂₃×#121	C₂	1	4	yes	maximal, complemented
7	C₂²×C₄×D₄×C₂₃	C₂	1	2	yes	maximal, complemented
8	C₂²×C₂₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×D₄×C₂₃	C₂²	1	2	yes	—
10	C₂³×D₄×C₂₃	C₂²	1	4	yes	—
11	C₂³×D₄×C₂₃	C₂²	1	4	yes	—
12	C₂⁴×C₄×C₂₃	C₂²	1	1	yes	characteristic
13	C₂⁴×C₄×C₂₃	C₂²	1	4	yes	—
14	C₂₃×#540	C₂²	1	256	yes	direct product factor
15	C₂×C₂₃×#127	C₂²	1	24	yes	complemented
16	C₂×C₂₃×#125	C₂²	1	24	yes	complemented
17	C₂×C₂₃×#123	C₂²	1	96	yes	complemented
18	C₂×C₂₃×#121	C₂²	1	96	yes	complemented
19	C₂×C₂₃×#121	C₂²	1	48	yes	complemented
20	C₂×C₄×D₄×C₂₃	C₂²	1	48	yes	complemented
21	C₂×C₂₃×#117	C₂²	1	24	yes	complemented
22	C₂²×C₄⋊C₄×C₂₃	C₂²	1	2	yes	—
23	C₂²×C₄⋊C₄×C₂₃	C₂²	1	2	yes	—
24	C₂²×C₄⋊C₄×C₂₃	C₂²	1	4	yes	—
25	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	2	yes	—
26	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	4	yes	—
27	C₂²×C₂²⋊C₄×C₂₃	C₂²	1	4	yes	—
28	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic
29	C₂²×C₄²×C₂₃	C₂²	1	1	yes	characteristic
30	C₂⁵×C₂₃	C₂³	1	1	yes	characteristic
31	C₂⁵×C₂₃	C₂³	1	4	yes	—
32	C₂²×D₄×C₂₃	—	2	16	no	—
33	C₂²×D₄×C₂₃	—	4	16	no	—
34	C₂²×D₄×C₂₃	—	4	16	no	—
35	C₂²×D₄×C₂₃	C₂³	1	24	yes	—
36	C₂²×D₄×C₂₃	C₂³	1	48	yes	—
37	C₂²×D₄×C₂₃	C₂³	1	48	yes	—
38	C₂³×C₄×C₂₃	—	2	8	no	—
39	C₂³×C₄×C₂₃	—	4	16	no	—
40	C₂³×C₄×C₂₃	C₂³	1	12	yes	—
41	C₂³×C₄×C₂₃	C₂³	1	2	yes	—
42	C₂³×C₄×C₂₃	C₂³	1	4	yes	—
43	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
44	C₂³×C₄×C₂₃	C₂³	1	2	yes	—
45	C₂³×C₄×C₂₃	C₂³	1	48	yes	—
46	C₂³×C₄×C₂₃	C₂³	1	1	yes	characteristic
47	C₂₃×#127	C₂³	1	64	yes	complemented
48	C₂₃×#125	C₂³	1	64	yes	complemented
49	C₂₃×#123	C₂³	1	256	yes	complemented
50	C₂₃×#121	C₂³	1	256	yes	complemented
51	C₂₃×#121	C₂³	1	128	yes	complemented
52	C₄×D₄×C₂₃	C₂³	1	128	yes	complemented
53	C₂₃×#117	C₂³	1	64	yes	complemented
54	C₂×C₄⋊C₄×C₂₃	C₂³	1	24	yes	—
55	C₂×C₄⋊C₄×C₂₃	C₂³	1	24	yes	—
56	C₂×C₄⋊C₄×C₂₃	C₂³	1	48	yes	—
57	C₂×C₂²⋊C₄×C₂₃	C₂³	1	24	yes	—
58	C₂×C₂²⋊C₄×C₂₃	C₂³	1	48	yes	—
59	C₂×C₂²⋊C₄×C₂₃	C₂³	1	48	yes	—
60	C₂×C₄²×C₂₃	C₂³	1	12	yes	—
61	C₂×C₄²×C₂₃	C₂³	1	12	yes	—
62	C₂⁴×C₂₃	—	2	4	no	—
63	C₂⁴×C₂₃	—	2	16	no	—
64	C₂⁴×C₂₃	—	2	16	no	—
65	C₂⁴×C₂₃	—	2	8	no	—
66	C₂⁴×C₂₃	—	2	16	no	—
67	C₂⁴×C₂₃	C₂⁴	1	6	yes	—
68	C₂⁴×C₂₃	C₂⁴	1	24	yes	—
69	C₂⁴×C₂₃	C₂⁴	1	1	yes	characteristic
70	C₂×D₄×C₂₃	—	2	96	no	—
71	C₂×D₄×C₂₃	—	4	96	no	—
72	C₂×D₄×C₂₃	—	4	96	no	—
73	C₂×D₄×C₂₃	C₂⁴	1	32	yes	—
74	C₂×D₄×C₂₃	C₂⁴	1	64	yes	—
75	C₂×D₄×C₂₃	C₂⁴	1	64	yes	—
76	C₂²×C₄×C₂₃	—	2	4	no	—
77	C₂²×C₄×C₂₃	—	2	8	no	—
78	C₂²×C₄×C₂₃	—	2	16	no	—
79	C₂²×C₄×C₂₃	—	2	8	no	—
80	C₂²×C₄×C₂₃	—	2	48	no	—
81	C₂²×C₄×C₂₃	—	4	96	no	—
82	C₂²×C₄×C₂₃	#41	1	8	yes	—
83	C₂²×C₄×C₂₃	C₂⁴	1	12	yes	—
84	C₂²×C₄×C₂₃	C₂⁴	1	12	yes	—
85	C₂²×C₄×C₂₃	C₂⁴	1	6	yes	—
86	C₂²×C₄×C₂₃	C₂⁴	1	24	yes	—
87	C₂²×C₄×C₂₃	C₂⁴	1	16	yes	—
88	C₂²×C₄×C₂₃	C₂⁴	1	64	yes	—
89	C₂²×C₄×C₂₃	C₂⁴	1	6	yes	—
90	C₄⋊C₄×C₂₃	C₂⁴	1	32	yes	—
91	C₄⋊C₄×C₂₃	C₂⁴	1	32	yes	—
92	C₄⋊C₄×C₂₃	C₂⁴	1	64	yes	—
93	C₂²⋊C₄×C₂₃	C₂⁴	1	32	yes	—
94	C₂²⋊C₄×C₂₃	C₂⁴	1	64	yes	—
95	C₂²⋊C₄×C₂₃	C₂⁴	1	64	yes	—
96	C₄²×C₂₃	C₂⁴	1	16	yes	—
97	C₄²×C₂₃	C₂⁴	1	16	yes	—
98	C₂²×#540	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
99	C₂³×C₂₃	—	2	12	no	—
100	C₂³×C₂₃	—	2	48	no	—
101	C₂³×C₂₃	—	2	48	no	—
102	C₂³×C₂₃	—	2	24	no	—
103	C₂³×C₂₃	—	2	48	no	—
104	C₂³×C₂₃	—	4	16	no	—
105	C₂³×C₂₃	—	4	64	no	—
106	C₂³×C₂₃	C₂×#41	1	4	yes	—
107	C₂³×C₂₃	H(5,𝔽₂)	1	8	yes	—
108	C₂³×C₂₃	C₂⁵	1	4	yes	—
109	C₂³×C₂₃	C₂⁵	1	16	yes	—
110	C₂³×C₂₃	C₂⁵	1	3	yes	—
111	D₄×C₂₃	—	2	64	no	—
112	D₄×C₂₃	—	4	64	no	—
113	D₄×C₂₃	—	4	64	no	—
114	C₂×C₄×C₂₃	—	2	12	no	—
115	C₂×C₄×C₂₃	—	2	24	no	—
116	C₂×C₄×C₂₃	—	2	48	no	—
117	C₂×C₄×C₂₃	—	2	24	no	—
118	C₂×C₄×C₂₃	—	2	32	no	—
119	C₂×C₄×C₂₃	—	4	64	no	—
120	C₂×C₄×C₂₃	C₂×#41	1	24	yes	—
121	C₂×C₄×C₂₃	C₂⁵	1	8	yes	—
122	C₂×C₄×C₂₃	C₂⁵	1	8	yes	—
123	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
124	C₂×C₄×C₂₃	C₂⁵	1	16	yes	—
125	C₂×C₄×C₂₃	C₂⁵	1	4	yes	—
126	C₂×#540	C₂×C₂₃	1	48	yes	direct product factor
127	C₂²×#127	C₂×C₂₃	1	1	yes	characteristic, complemented
128	C₂²×#125	C₂×C₂₃	1	1	yes	characteristic, complemented
129	C₂²×#123	C₂×C₂₃	1	4	yes	complemented
130	C₂²×#121	C₂×C₂₃	1	4	yes	complemented
131	C₂²×#121	C₂×C₂₃	1	2	yes	complemented
132	C₂²×C₄×D₄	C₂×C₂₃	1	2	yes	complemented
133	C₂²×#117	C₂×C₂₃	1	1	yes	characteristic, complemented
134	C₂²×C₂₃	—	2	4	no	—
135	C₂²×C₂₃	—	2	16	no	—
136	C₂²×C₂₃	—	2	16	no	—
137	C₂²×C₂₃	—	2	8	no	—
138	C₂²×C₂₃	—	2	16	no	—
139	C₂²×C₂₃	—	4	24	no	—
140	C₂²×C₂₃	—	4	96	no	—
141	C₂²×C₂₃	#540	1	16	yes	direct product factor
142	C₂²×C₂₃	C₂²×#41	1	6	yes	—
143	C₂²×C₂₃	C₂×H(5,𝔽₂)	1	12	yes	—
144	C₂²×C₂₃	C₂⁶	1	1	yes	characteristic
145	C₄×C₂₃	—	2	4	no	—
146	C₄×C₂₃	—	2	8	no	—
147	C₄×C₂₃	—	2	16	no	—
148	C₄×C₂₃	—	2	8	no	—
149	C₄×C₂₃	C₂²×#41	1	8	yes	—
150	C₂³×D₄	C₂²×C₂₃	1	2	yes	—
151	C₂³×D₄	C₂²×C₂₃	1	4	yes	—
152	C₂³×D₄	C₂²×C₂₃	1	4	yes	—
153	C₂⁴×C₄	C₂²×C₂₃	1	1	yes	characteristic
154	C₂⁴×C₄	C₂²×C₂₃	1	4	yes	—
155	#540	C₂²×C₂₃	1	256	yes	direct product factor
156	C₂×#127	C₂²×C₂₃	1	24	yes	complemented
157	C₂×#125	C₂²×C₂₃	1	24	yes	complemented
158	C₂×#123	C₂²×C₂₃	1	96	yes	complemented
159	C₂×#121	C₂²×C₂₃	1	96	yes	complemented
160	C₂×#121	C₂²×C₂₃	1	48	yes	complemented
161	C₂×C₄×D₄	C₂²×C₂₃	1	48	yes	complemented
162	C₂×#117	C₂²×C₂₃	1	24	yes	complemented
163	C₂²×C₄⋊C₄	C₂²×C₂₃	1	2	yes	—
164	C₂²×C₄⋊C₄	C₂²×C₂₃	1	2	yes	—
165	C₂²×C₄⋊C₄	C₂²×C₂₃	1	4	yes	—
166	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	2	yes	—
167	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	4	yes	—
168	C₂²×C₂²⋊C₄	C₂²×C₂₃	1	4	yes	—
169	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic
170	C₂²×C₄²	C₂²×C₂₃	1	1	yes	characteristic
171	C₂×C₂₃	—	4	4	no	—
172	C₂×C₂₃	—	4	16	no	—
173	C₂×C₂₃	C₂×#540	1	12	yes	direct product factor
174	C₂×C₂₃	C₂³×#41	1	1	yes	characteristic
175	C₂×C₂₃	C₂²×H(5,𝔽₂)	1	2	yes	—
176	C₂⁵	C₂³×C₂₃	1	1	yes	characteristic
177	C₂⁵	C₂³×C₂₃	1	4	yes	—
178	C₂²×D₄	—	2	16	no	—
179	C₂²×D₄	—	4	16	no	—
180	C₂²×D₄	—	4	16	no	—
181	C₂²×D₄	C₂³×C₂₃	1	24	yes	—
182	C₂²×D₄	C₂³×C₂₃	1	48	yes	—
183	C₂²×D₄	C₂³×C₂₃	1	48	yes	—
184	C₂³×C₄	—	2	8	no	—
185	C₂³×C₄	—	4	16	no	—
186	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
187	C₂³×C₄	C₂³×C₂₃	1	2	yes	—
188	C₂³×C₄	C₂³×C₂₃	1	4	yes	—
189	C₂³×C₄	C₂³×C₂₃	1	2	yes	—
190	C₂³×C₄	C₂³×C₂₃	1	12	yes	—
191	C₂³×C₄	C₂³×C₂₃	1	48	yes	—
192	C₂³×C₄	C₂³×C₂₃	1	1	yes	characteristic
193	#127	C₂³×C₂₃	1	64	yes	complemented
194	#125	C₂³×C₂₃	1	64	yes	complemented
195	#123	C₂³×C₂₃	1	256	yes	complemented
196	#121	C₂³×C₂₃	1	256	yes	complemented
197	#121	C₂³×C₂₃	1	128	yes	complemented
198	C₄×D₄	C₂³×C₂₃	1	128	yes	complemented
199	#117	C₂³×C₂₃	1	64	yes	complemented
200	C₂×C₄⋊C₄	C₂³×C₂₃	1	24	yes	—
201	C₂×C₄⋊C₄	C₂³×C₂₃	1	24	yes	—
202	C₂×C₄⋊C₄	C₂³×C₂₃	1	48	yes	—
203	C₂×C₂²⋊C₄	C₂³×C₂₃	1	24	yes	—
204	C₂×C₂²⋊C₄	C₂³×C₂₃	1	48	yes	—
205	C₂×C₂²⋊C₄	C₂³×C₂₃	1	48	yes	—
206	C₂×C₄²	C₂³×C₂₃	1	12	yes	—
207	C₂×C₄²	C₂³×C₂₃	1	12	yes	—
208	C₂₃	C₂²×#540	1	1	yes	characteristic, direct product factor, Sylow
209	C₂⁴	—	2	4	no	—
210	C₂⁴	—	2	16	no	—
211	C₂⁴	—	2	16	no	—
212	C₂⁴	—	2	8	no	—
213	C₂⁴	—	2	16	no	—
214	C₂⁴	C₂⁴×C₂₃	1	6	yes	—
215	C₂⁴	C₂⁴×C₂₃	1	24	yes	—
216	C₂⁴	C₂⁴×C₂₃	1	1	yes	characteristic
217	C₂×D₄	—	2	96	no	—
218	C₂×D₄	—	4	96	no	—
219	C₂×D₄	—	4	96	no	—
220	C₂×D₄	C₂⁴×C₂₃	1	32	yes	—
221	C₂×D₄	C₂⁴×C₂₃	1	64	yes	—
222	C₂×D₄	C₂⁴×C₂₃	1	64	yes	—
223	C₂²×C₄	—	2	4	no	—
224	C₂²×C₄	—	2	8	no	—
225	C₂²×C₄	—	2	16	no	—
226	C₂²×C₄	—	2	8	no	—
227	C₂²×C₄	—	2	48	no	—
228	C₂²×C₄	—	4	96	no	—
229	C₂²×C₄	#41×C₂₃	1	8	yes	—
230	C₂²×C₄	C₂⁴×C₂₃	1	12	yes	—
231	C₂²×C₄	C₂⁴×C₂₃	1	12	yes	—
232	C₂²×C₄	C₂⁴×C₂₃	1	6	yes	—
233	C₂²×C₄	C₂⁴×C₂₃	1	24	yes	—
234	C₂²×C₄	C₂⁴×C₂₃	1	16	yes	—
235	C₂²×C₄	C₂⁴×C₂₃	1	64	yes	—
236	C₂²×C₄	C₂⁴×C₂₃	1	6	yes	—
237	C₄⋊C₄	C₂⁴×C₂₃	1	32	yes	—
238	C₄⋊C₄	C₂⁴×C₂₃	1	32	yes	—
239	C₄⋊C₄	C₂⁴×C₂₃	1	64	yes	—
240	C₂²⋊C₄	C₂⁴×C₂₃	1	32	yes	—
241	C₂²⋊C₄	C₂⁴×C₂₃	1	64	yes	—
242	C₂²⋊C₄	C₂⁴×C₂₃	1	64	yes	—
243	C₄²	C₂⁴×C₂₃	1	16	yes	—
244	C₄²	C₂⁴×C₂₃	1	16	yes	—
245	C₂³	—	2	12	no	—
246	C₂³	—	2	48	no	—
247	C₂³	—	2	48	no	—
248	C₂³	—	2	24	no	—
249	C₂³	—	2	48	no	—
250	C₂³	—	4	16	no	—
251	C₂³	—	4	64	no	—
252	C₂³	C₂×#41×C₂₃	1	4	yes	—
253	C₂³	C₂₃×H(5,𝔽₂)	1	8	yes	—
254	C₂³	C₂⁵×C₂₃	1	4	yes	—
255	C₂³	C₂⁵×C₂₃	1	16	yes	—
256	C₂³	C₂⁵×C₂₃	1	3	yes	—
257	D₄	—	2	64	no	—
258	D₄	—	4	64	no	—
259	D₄	—	4	64	no	—
260	C₂×C₄	—	2	12	no	—
261	C₂×C₄	—	2	24	no	—
262	C₂×C₄	—	2	48	no	—
263	C₂×C₄	—	2	24	no	—
264	C₂×C₄	—	2	32	no	—
265	C₂×C₄	—	4	64	no	—
266	C₂×C₄	C₂×#41×C₂₃	1	24	yes	—
267	C₂×C₄	C₂⁵×C₂₃	1	8	yes	—
268	C₂×C₄	C₂⁵×C₂₃	1	8	yes	—
269	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
270	C₂×C₄	C₂⁵×C₂₃	1	16	yes	—
271	C₂×C₄	C₂⁵×C₂₃	1	4	yes	—
272	C₂²	—	2	4	no	—
273	C₂²	—	2	16	no	—
274	C₂²	—	2	16	no	—
275	C₂²	—	2	8	no	—
276	C₂²	—	2	16	no	—
277	C₂²	—	4	24	no	—
278	C₂²	—	4	96	no	—
279	C₂²	C₂₃×#540	1	16	yes	direct product factor
280	C₂²	C₂²×#41×C₂₃	1	6	yes	—
281	C₂²	C₂×C₂₃×H(5,𝔽₂)	1	12	yes	—
282	C₂²	C₂⁶×C₂₃	1	1	yes	characteristic
283	C₄	—	2	4	no	—
284	C₄	—	2	8	no	—
285	C₄	—	2	16	no	—
286	C₄	—	2	8	no	—
287	C₄	C₂²×#41×C₂₃	1	8	yes	—
288	C₂	—	4	4	no	—
289	C₂	—	4	16	no	—
290	C₂	C₂×C₂₃×#540	1	12	yes	direct product factor
291	C₂	C₂³×#41×C₂₃	1	1	yes	characteristic
292	C₂	C₂²×C₂₃×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₂₃	C₂⁴
commutator, Frattini, cosocle	C₂²	C₂⁶×C₂₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴×C₂₃ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×C₂₃×#540	C₂	direct (N × H)
2. C₂²×C₂₃×#127	C₂	semidirect
3. C₂²×C₂₃×#125	C₂	semidirect
4. C₂²×C₂₃×#123	C₂	semidirect
5. C₂²×C₂₃×#121	C₂	semidirect
6. C₂²×C₂₃×#121	C₂	semidirect
7. C₂²×C₄×D₄×C₂₃	C₂	semidirect
8. C₂²×C₂₃×#117	C₂	semidirect
14. C₂₃×#540	C₂²	direct (N × H)
15. C₂×C₂₃×#127	C₂²	semidirect
16. C₂×C₂₃×#125	C₂²	semidirect
17. C₂×C₂₃×#123	C₂²	semidirect
18. C₂×C₂₃×#121	C₂²	semidirect
19. C₂×C₂₃×#121	C₂²	semidirect
20. C₂×C₄×D₄×C₂₃	C₂²	semidirect
21. C₂×C₂₃×#117	C₂²	semidirect
47. C₂₃×#127	C₂³	semidirect
48. C₂₃×#125	C₂³	semidirect
49. C₂₃×#123	C₂³	semidirect
50. C₂₃×#121	C₂³	semidirect
51. C₂₃×#121	C₂³	semidirect
52. C₄×D₄×C₂₃	C₂³	semidirect
53. C₂₃×#117	C₂³	semidirect
98. C₂²×#540	C₂₃	direct (N × H)
126. C₂×#540	C₂×C₂₃	direct (N × H)
127. C₂²×#127	C₂×C₂₃	semidirect
128. C₂²×#125	C₂×C₂₃	semidirect
129. C₂²×#123	C₂×C₂₃	semidirect
130. C₂²×#121	C₂×C₂₃	semidirect
131. C₂²×#121	C₂×C₂₃	semidirect
132. C₂²×C₄×D₄	C₂×C₂₃	semidirect
133. C₂²×#117	C₂×C₂₃	semidirect
141. C₂²×C₂₃	#540	direct (N × H)
155. #540	C₂²×C₂₃	direct (N × H)
156. C₂×#127	C₂²×C₂₃	semidirect
157. C₂×#125	C₂²×C₂₃	semidirect
158. C₂×#123	C₂²×C₂₃	semidirect
159. C₂×#121	C₂²×C₂₃	semidirect
160. C₂×#121	C₂²×C₂₃	semidirect
161. C₂×C₄×D₄	C₂²×C₂₃	semidirect
162. C₂×#117	C₂²×C₂₃	semidirect
173. C₂×C₂₃	C₂×#540	direct (N × H)
193. #127	C₂³×C₂₃	semidirect
194. #125	C₂³×C₂₃	semidirect
195. #123	C₂³×C₂₃	semidirect
196. #121	C₂³×C₂₃	semidirect
197. #121	C₂³×C₂₃	semidirect
198. C₄×D₄	C₂³×C₂₃	semidirect
199. #117	C₂³×C₂₃	semidirect
208. C₂₃	C₂²×#540	direct (N × H)
279. C₂²	C₂₃×#540	direct (N × H)
290. C₂	C₂×C₂₃×#540	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₂₃×#540	2
C₂²×C₂₃×#127	2
C₂²×C₂₃×#125	2
C₂²×C₂₃×#123	2
C₂²×C₂₃×#121	2
C₂²×C₄×D₄×C₂₃	2
C₂²×C₂₃×#117	2
C₂²×#540	23

Subgroups — C22×C23×#540 #19210303

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₂₃×#540 #19210303